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All results from a given calculation for C3H4N2 (1H-Imidazole)

using model chemistry: HF/TZVP

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes CS 1A'
Energy calculated at HF/TZVP
 hartrees
Energy at 0K-224.887066
Energy at 298.15K-224.893281
HF Energy-224.887066
Nuclear repulsion energy165.189785
The energy at 298.15K was derived from the energy at 0K and an integrated heat capacity that used the calculated vibrational frequencies.
Vibrational Frequencies calculated at HF/TZVP
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
4/u)
Dep P Dep U
1 A' 3908 3551 99.73      
2 A' 3436 3122 2.12      
3 A' 3409 3097 3.66      
4 A' 3402 3091 4.60      
5 A' 1723 1565 23.95      
6 A' 1644 1493 26.63      
7 A' 1565 1422 24.46      
8 A' 1483 1348 9.63      
9 A' 1404 1276 0.87      
10 A' 1246 1132 5.54      
11 A' 1217 1106 4.43      
12 A' 1175 1068 16.85      
13 A' 1145 1041 61.39      
14 A' 1023 929 2.17      
15 A' 987 897 6.82      
16 A" 993 902 0.46      
17 A" 960 872 23.39      
18 A" 833 757 60.09      
19 A" 728 662 11.12      
20 A" 687 624 6.94      
21 A" 538 489 119.20      

Unscaled Zero Point Vibrational Energy (zpe) 16752.6 cm-1
Scaled (by 0.9086) Zero Point Vibrational Energy (zpe) 15221.4 cm-1
See section III.C.1 List or set vibrational scaling factors to change the scale factors used here.
See section III.C.2 Calculate a vibrational scaling factor for a given set of molecules to determine the least squares best scaling factor.
Rotational Constants (cm-1) from geometry optimized at HF/TZVP
ABC
0.33142 0.32292 0.16356

See section I.F.4 to change rotational constant units
Geometric Data calculated at HF/TZVP

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 0.000 1.094 0.000
C2 -1.075 0.279 0.000
C3 1.108 0.287 0.000
N4 -0.740 -0.963 0.000
C5 0.631 -0.973 0.000
H6 -0.013 2.085 0.000
H7 -2.077 0.654 0.000
H8 2.102 0.676 0.000
H9 1.182 -1.889 0.000

Atom - Atom Distances (Å)
  N1 C2 C3 N4 C5 H6 H7 H8 H9
N11.34841.37082.18532.16070.99102.12312.14333.2077
C21.34842.18291.28572.11552.09471.07023.20163.1286
C31.37082.18292.23141.34762.11843.20641.06742.1769
N42.18531.28572.23141.37103.13282.09743.28122.1333
C52.16072.11551.34761.37103.12453.15882.21051.0685
H60.99102.09472.11843.13283.12452.51182.54084.1487
H72.12311.07023.20642.09743.15882.51184.17944.1330
H82.14333.20161.06743.28122.21052.54084.17942.7253
H93.20773.12862.17692.13331.06854.14874.13302.7253

picture of 1H-Imidazole state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
N1 C2 N4 112.097 N1 C2 H7 122.338
N1 C3 C5 105.281 N1 C3 H8 122.565
C2 N1 C3 106.791 C2 N1 H6 126.437
C2 N4 C5 105.508 C3 N1 H6 126.771
C3 C5 N4 110.323 C3 C5 H9 128.204
N4 C2 H7 125.565 N4 C5 H9 121.474
C5 C3 H8 132.154
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HF/TZVP Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.156      
2 C -0.032      
3 C -0.146      
4 N -0.168      
5 C -0.087      
6 H 0.244      
7 H 0.112      
8 H 0.123      
9 H 0.111      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  1.125 3.755 0.000 3.920
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -26.595 -3.629 0.000
y -3.629 -25.896 0.000
z 0.000 0.000 -32.310
Traceless
 xyz
x 2.508 -3.629 0.000
y -3.629 3.556 0.000
z 0.000 0.000 -6.064
Polar
3z2-r2-12.128
x2-y2-0.699
xy-3.629
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 7.050 -0.031 0.000
y -0.031 7.025 0.000
z 0.000 0.000 4.081


<r2> (average value of r2) Å2
<r2> 78.602
(<r2>)1/2 8.866